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Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values

Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values

We study the regularity of solutions of the Poisson equation with Dirichlet, Neumann and mixed boundary values in polyhedral cones [Formula: see text] in the specific scale [Formula: see text] of Besov spaces. The regularity of the solution in these spaces determines theorder of approximation that can be achieved by …